Results 101 to 110 of about 6,381 (249)

Better Approximation of Integral Form of Midpoint Formula Using p‐Convex Function via Katugampola Fractional Integrals

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this article, new estimations of the integral form of the midpoint formula are derived for p‐convex functions via Katugampola fractional integrals. A specific identity for differentiable functions is established, which extends and strengthens the integral midpoint inequality through innovative estimations.
Muhammad Latif, Saima Riaz, Khuram Ali Khan, Ammara Nosheen, Michael Kikomba Kahungu, Richard I. Avery   +5 more
wiley   +1 more source

HERMITE–HADAMARD TYPE INEQUALITIES FOR KATUGAMPOLA FRACTIONAL INTEGRALS

Journal of Applied Analysis & Computation, 2023
Summary: In the paper, basing on the Katugampola fractional integrals \({}^\rho\mathcal{K}^\alpha_{a+}f\) and \({}^\rho\mathcal{K}^\alpha_{b-}f\) with \(f\in\mathfrak{X}_c^p(a, b) \), the authors establish the Hermite-Hadamard type inequalities for convex functions, give their left estimates, and apply these newly-established inequalities to special ...
Wang, Shu-Hong, Hai, Xu-Ran
openaire   +1 more source

Fundamentals of Right Hahn q‐Symmetric Calculus and Related Inequalities

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
Hahn symmetric quantum calculus is a generalization of symmetric quantum calculus. Motivated by the Hahn symmetric quantum calculus, we present the right Hahn symmetric derivative and integral, which are novel definitions for derivative and definite integral in Hahn symmetric quantum calculus.
Muhammad Nasim Aftab, Saad Ihsan Butt, Youngsoo Seol, Pengyu Chen   +3 more
wiley   +1 more source

Further Hermite–Hadamard-Type Inequalities for Fractional Integrals with Exponential Kernels

Fractal and Fractional
This paper introduces new versions of Hermite–Hadamard, midpoint- and trapezoid-type inequalities involving fractional integral operators with exponential kernels.
Hong Li, B. Meftah, Wedad Saleh, Hongyan Xu, A. Kiliçman, Abdelghani Lakhdari   +5 more
semanticscholar   +1 more source

Hadamard Inequalities for Wright-Convex Functions

, 2003
In this paper, we establish serveral inequalities of Hadamard’s type for Wright-Convex ...
G.-S. Yang, S. S. Dragomir, Yang, Gou-Sheng, Tseng, Kuei-Lin, Dragomir, Sever S, K.-L. Tseng, Yang, G, Tseng, K   +7 more
core   +1 more source

Some new Hermite-Hadamard and Fejer type inequalities without convexity/concavity

, 2020
In this paper we discuss the Hermite-Hadamard and Fejer inequalities vis-a-vis the convexity concept. In particular, we derive some new theorems and examples where Hermite-Hadamard and Fejer type inequalities are satisfied without the assumptions of ...
Lars-Erik Persson, Shoshana Abramovich, Abramovich, Shoshana,, Persson, Lars-Erik,   +3 more
core   +1 more source

Harmonic Inequalities Associated With Left‐ and Right‐Sided Fractional Integral Operators Pertaining Exponential Kernels With Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We derive the left‐ and right‐sided fractional Hermite–Hadamard (H–H)‐type inequalities for harmonic convex mappings from the left‐ and right‐sided fractional integral operators possessing exponential kernels. In addition, we introduce two variants of fractional equalities that are further deployed with the idea differentiable harmonic convex mappings ...
Hira Inam, Saad Ihsan Butt, Mohammed Alammar, Youngsoo Seol, Yongqiang Fu   +4 more
wiley   +1 more source

Hermite-Hadamard type inequalities for p-convex functions via fractional integrals

Moroccan Journal of Pure and Applied Analysis, 2017
In this paper, we present Hermite-Hadamard inequality for p-convex functions in fractional integral forms. we obtain an integral equality and some Hermite-Hadamard type integral inequalities for p-convex functions in fractional integral forms.
Kunt Mehmet, İşcan İmdat
doaj   +1 more source

Graphical and Analytic Study of New Inequalities Involving Strongly n‐Polynomial Exponential‐Type s‐Convex Functions

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper explores a new class of convexity, namely, strongly n‐polynomial exponential‐type s‐convexity. We developed some basic results related to this convexity including few algebraic properties. Three examples have been provided for the verification of newly introduced convexity.
Khuram Ali Khan, Ramy M. Hafez, Kashif Ali, Ndolane Sene, Çetin Yildiz   +4 more
wiley   +1 more source

New Hermite-Hadamard type inequalities for exponentially convex functions and applications

AIMS Mathematics, 2020
The investigation of the proposed techniques is effective and convenient for solving the integrodifferential and difference equations. The present investigation depends on two highlights; the novel Hermite-Hadamard type inequalities for $\mathcal{K ...
Shuang-Shuang Zhou, S. Rashid, M. Noor, K. Noor, F. Safdar, Y. Chu   +5 more
semanticscholar   +1 more source